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Properties

Label 2200.2.cx
Level $2200$
Weight $2$
Character orbit 2200.cx
Rep. character $\chi_{2200}(219,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $1424$
Sturm bound $720$

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Defining parameters

Level: \( N \) \(=\) \( 2200 = 2^{3} \cdot 5^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2200.cx (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2200 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(720\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2200, [\chi])\).

Total New Old
Modular forms 1456 1456 0
Cusp forms 1424 1424 0
Eisenstein series 32 32 0

Trace form

\( 1424 q - 20 q^{3} - 6 q^{4} + 336 q^{9} + O(q^{10}) \) \( 1424 q - 20 q^{3} - 6 q^{4} + 336 q^{9} - 6 q^{11} - 10 q^{12} + 6 q^{14} + 18 q^{16} - 6 q^{20} - 30 q^{22} - 16 q^{25} - 4 q^{26} - 20 q^{27} - 10 q^{33} + 2 q^{34} - 2 q^{36} - 10 q^{38} + 50 q^{42} - 16 q^{44} - 10 q^{48} - 1360 q^{49} + 36 q^{56} - 12 q^{59} - 54 q^{60} + 18 q^{64} - 54 q^{66} - 20 q^{67} + 8 q^{70} + 4 q^{75} - 40 q^{78} - 66 q^{80} - 360 q^{81} - 48 q^{86} + 50 q^{88} - 12 q^{89} + 72 q^{91} - 60 q^{92} + 60 q^{97} + 8 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2200, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.